213202133320 has 256 divisors, whose sum is σ = 565134796800. Its totient is φ = 71521628160.

The previous prime is 213202133257. The next prime is 213202133357. The reversal of 213202133320 is 23331202312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213202133291 and 213202133300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259054429 + ... + 259055251.

It is an arithmetic number, because the mean of its divisors is an integer number (2207557800).

Almost surely, 2^213202133320 is an apocalyptic number.

213202133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213202133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282567398400).

213202133320 is an abundant number, since it is smaller than the sum of its proper divisors (351932663480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213202133320 is a wasteful number, since it uses less digits than its factorization.

213202133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213202133320 its reverse (23331202312), we get a palindrome (236533335632).

The spelling of 213202133320 in words is "two hundred thirteen billion, two hundred two million, one hundred thirty-three thousand, three hundred twenty".